Volume 6, Issue 2, December 2020, Page: 30-50
Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits
Hubert Michael Quinn, Department of Research and Development, the Wrangler Group LLC, Brighton, USA
Received: Jul. 22, 2020;       Accepted: Aug. 5, 2020;       Published: Aug. 25, 2020
DOI: 10.11648/j.fm.20200602.11      View  45      Downloads  22
Abstract
The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we will use this new level of understanding to explain these contradictions, in layman’s terms, and resolve them, by introducing for the first time, as far as we know, a unique solution to the Navier-Stokes equation for fluid flow in closed conduits, which is understandable by knowledgeable physicists, engineers, chromatographers and aerospace enthusiasts alike, but who may not necessarily be versed in the abstract jargon of a graduate in advanced mathematics. In addition, we will apply our unique solution to chosen illustrative worked examples, as well as those of third parties from the published literature. In so doing, we will demonstrate the utility of our solution, not only, to packed conduits containing particles having solid skeletons, but also, to empty conduits, which in the context of this new understanding of fluid dynamics in closed conduits, represents a special case of a packed conduit in which the particles are fully porous, i.e., they are made entirely of free space.
Keywords
Forchheimer Coefficients, Conduit Permeability, Continuity Equation, Porosity, Tortuosity, Packed Conduits
To cite this article
Hubert Michael Quinn, Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits, Fluid Mechanics. Vol. 6, No. 2, 2020, pp. 30-50. doi: 10.11648/j.fm.20200602.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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